11002101100101 has 12 divisors (see below), whose sum is σ = 16826742859212. Its totient is φ = 6903279121536.

The previous prime is 11002101100097. The next prime is 11002101100117. The reversal of 11002101100101 is 10100110120011.

It can be written as a sum of positive squares in 2 ways, for example, as 3360801896001 + 7641299204100 = 1833249^2 + 2764290^2 .

It is not a de Polignac number, because 11002101100101 - 2² = 11002101100097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002101100171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35954578606 + ... + 35954578911.

It is an arithmetic number, because the mean of its divisors is an integer number (1402228571601).

Almost surely, 2^{11002101100101} is an apocalyptic number.

It is an amenable number.

11002101100101 is a deficient number, since it is larger than the sum of its proper divisors (5824641759111).

11002101100101 is a wasteful number, since it uses less digits than its factorization.

11002101100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71909157540 (or 71909157537 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11002101100101 its reverse (10100110120011), we get a palindrome (21102211220112).

The spelling of 11002101100101 in words is "eleven trillion, two billion, one hundred one million, one hundred thousand, one hundred one".